DC MAGNETOTRANSPORT AND HALL-EFFECT IN MULTIPLY CONNECTED QUANTUM-WIRE SYSTEMS

Authors
Citation
F. Gagel et K. Maschke, DC MAGNETOTRANSPORT AND HALL-EFFECT IN MULTIPLY CONNECTED QUANTUM-WIRE SYSTEMS, Physical review. B, Condensed matter, 49(24), 1994, pp. 17170-17176
Citations number
28
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
49
Issue
24
Year of publication
1994
Pages
17170 - 17176
Database
ISI
SICI code
0163-1829(1994)49:24<17170:DMAHIM>2.0.ZU;2-7
Abstract
In the Landauer-Buttiker approach, the dc-transport properties of a sy stem are expressed in terms of its scattering matrix. We propose a met hod to sum the multiple-scattering events for an arbitrary ensemble of interconnected scatterers, which leads to a closed analytic expressio n for the matrix elements of the overall-scattering matrix. This appro ach is used to investigate the dc magnetotransport of a planar periodi c lattice of interconnected quantum wires. The calculated conductance as well as the Hall voltage depend strongly on the Fermi wave vector a nd on the magnetic field. This behavior is a consequence of the interf erence between waves traveling along different scattering paths. It is closely related to the eigenvalue spectrum of electrons in a two-dime nsional lattice in the presence of a perpendicular magnetic field, whi ch is described by the Hofstadter butterfly. We present a detailed ana lysis of the observed features of the Hall voltage.